Neumann Type Problems for the Dirac Operator

We shall formulate Neumann type problems for monogenic functions, and for nonhomogeneous Dirac equations in the upper half space of R m ( m   ≥   3 ) . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315139548/2af6e4bd-72bf-419b-b1f3-52d645c48a21/content/eq2606.tif"/> This is done in both the classical sense and the L^p sense. For each Neumann type problem, a representation of the solution, unique up to a Clifford constant, is obtained.